from __future__ import annotations





def 							UpperCAmelCase		(       lowercase				,     lowercase = None				,     lowercase = None				,     lowercase = False				,     ):







				"""simple docstring"""



				__lowercase					     =				cipher_alphabet or [chr(lowercase				) for i in range(97				,     123				)]

				# If the argument is None or the user provided an empty dictionary
				if not frequencies_dict:
								# Frequencies of letters in the english language (how much they show up)
								__lowercase					     =				{
								    '''a''': 0.08497,
								    '''b''': 0.01492,
								    '''c''': 0.02202,
								    '''d''': 0.04253,
								    '''e''': 0.11162,
								    '''f''': 0.02228,
								    '''g''': 0.02015,
								    '''h''': 0.06094,
								    '''i''': 0.07546,
								    '''j''': 0.00153,
								    '''k''': 0.01292,
								    '''l''': 0.04025,
								    '''m''': 0.02406,
								    '''n''': 0.06749,
								    '''o''': 0.07507,
								    '''p''': 0.01929,
								    '''q''': 0.00095,
								    '''r''': 0.07587,
								    '''s''': 0.06327,
								    '''t''': 0.09356,
								    '''u''': 0.02758,
								    '''v''': 0.00978,
								    '''w''': 0.02560,
								    '''x''': 0.00150,
								    '''y''': 0.01994,
								    '''z''': 0.00077,
								}
				else:
								# Custom frequencies dictionary
								__lowercase					     =				frequencies_dict

				if not case_sensitive:
								__lowercase					     =				ciphertext.lower()

				# Chi squared statistic values
				__lowercase					     =				{}

				# cycle through all of the shifts
				for shift in range(len(lowercase				)				):
								__lowercase					     =				''''''

								# decrypt the message with the shift
								for letter in ciphertext:
												try:
																# Try to index the letter in the alphabet
																__lowercase					     =				(alphabet_letters.index(letter.lower()				) - shift) % len(
																    lowercase				)
																decrypted_with_shift += (
																    alphabet_letters[new_key].upper()
																    if case_sensitive and letter.isupper()
																    else alphabet_letters[new_key]
																)
												except ValueError:
																# Append the character if it isn't in the alphabet
																decrypted_with_shift += letter

								__lowercase					     =				0.0

								# Loop through each letter in the decoded message with the shift
								for letter in decrypted_with_shift:
												if case_sensitive:
																__lowercase					     =				letter.lower()
																if letter in frequencies:
																				# Get the amount of times the letter occurs in the message
																				__lowercase					     =				decrypted_with_shift.lower().count(lowercase				)

																				# Get the excepcted amount of times the letter should appear based
																				# on letter frequencies
																				__lowercase					     =				frequencies[letter] * occurrences

																				# Complete the chi squared statistic formula
																				__lowercase					     =				((occurrences - expected) ** 2) / expected

																				# Add the margin of error to the total chi squared statistic
																				chi_squared_statistic += chi_letter_value
												else:
																if letter.lower() in frequencies:
																				# Get the amount of times the letter occurs in the message
																				__lowercase					     =				decrypted_with_shift.count(lowercase				)

																				# Get the excepcted amount of times the letter should appear based
																				# on letter frequencies
																				__lowercase					     =				frequencies[letter] * occurrences

																				# Complete the chi squared statistic formula
																				__lowercase					     =				((occurrences - expected) ** 2) / expected

																				# Add the margin of error to the total chi squared statistic
																				chi_squared_statistic += chi_letter_value

        # Add the data to the chi_squared_statistic_values dictionary
								__lowercase					     =				(
								    chi_squared_statistic,
								    decrypted_with_shift,
								)

				# Get the most likely cipher by finding the cipher with the smallest chi squared
				# statistic
				def chi_squared_statistic_values_sorting_key(lowercase				) -> tuple[float, str]:
								return chi_squared_statistic_values[key]

				__lowercase					     =				min(
				    lowercase				,     key=lowercase				,     )

				# Get all the data from the most likely cipher (key, decoded message)
				(
				    (
				    __lowercase
				)     ,	(
				    __lowercase
				)     ,	
				)					     =				chi_squared_statistic_values[most_likely_cipher]

				# Return the data on the most likely shift
				return (
				    most_likely_cipher,
				    most_likely_cipher_chi_squared_value,
				    decoded_most_likely_cipher,
				)
def 							UpperCAmelCase		(       lowercase				,     lowercase				):







				"""simple docstring"""



				__lowercase					     =				len(lowercase				)
				__lowercase					     =				len(lowercase				)
				__lowercase					     =				[[False for _ in range(m + 1				)] for _ in range(n + 1				)]
				__lowercase					     =				True
				for i in range(lowercase				):
								for j in range(m + 1				):
												if dp[i][j]:
																if j < m and a[i].upper() == b[j]:
																				__lowercase					     =				True
																if a[i].islower():
																				__lowercase					     =				True
				return dp[n][m]


if __name__ == "__main__":
		import doctest

		doctest.testmod()